devyy The SI unit for mass is the kilogram, abbreviated as ‘kg’. This unit is part of the International System of Units (SI), which is a standardized system of measurement used globally in science, industry, and everyday life. The kilogram is defined by the physical mass of a specific prototype: a platinum-iridium cylinder known as the … Read more
To find the value of x in the equation x + 23 = 16 + 56, we first simplify the right side of the equation. Calculate 16 + 56: 16 + 56 = 72 Now, we can rewrite the equation as: x + 23 = 72 Next, to isolate x, we need to subtract 23 … Read more
When flipping a fair coin, there are two possible outcomes for each flip: heads (H) or tails (T). If we want to determine the probability that all three flips result in the same outcome, we can analyze the possible scenarios. For three flips, the total number of possible outcomes can be calculated as: 2 choices … Read more
To determine the other factor of the polynomial x2 + 5x + 36, given that (x – 9) is a factor, we can follow these steps: First, understand what factors are: Factors of a polynomial are expressions that can be multiplied together to obtain the original polynomial. Use polynomial long division: To find the other … Read more
To calculate the probabilities, we first need to understand the total number of possible 5-card combinations that can be drawn from a standard 52-card deck. This can be calculated using the combination formula: Total combinations: C(52, 5) = 2,598,960 1. Probability of Drawing 3 Aces and 2 Kings To draw 3 aces and 2 kings, … Read more
To rewrite the equation 2x + y = 6 in the standard form of ax + by + c = 0, we need to rearrange the equation so that one side equals zero. Here are the steps to achieve that: Start with the original equation: 2x + y = 6. Subtract 6 from both sides … Read more
Determining the Measure of an Angle in Parallel Lines When dealing with parallel lines and a transversal, understanding the relationships between the angles formed is key to finding the measure of any specific angle. Here’s a comprehensive guide on how to approach this: 1. Understand the Basics Parallel lines are two lines that run in … Read more
To find the equation in point-slope form of the line that passes through the points (3, 4) and (0, 2), we first need to determine the slope of the line. The formula for the slope ( m) between two points (x_1, y_1) and (x_2, y_2) is: m = (y_2 – y_1) / (x_2 – x_1) … Read more
To find the product of 7 and 62, you simply multiply the two numbers together. Let’s break it down: 1. Start with the number 7. 2. Then take the number 62. 3. Now, multiply the two: 7 x 62 = 434 So, the correct product of 7 and 62 is 434. This is a straightforward … Read more
To determine how many solutions exist for the equation 0.75x + 40 + 0.35x + 20 + 0.35x + 20 = 0, we can start by simplifying the equation step-by-step. First, let’s combine like terms. The terms involving x are: 0.75x 0.35x 0.35x Now, we can add these together: 0.75x + 0.35x + 0.35x = … Read more